Heisenberg uncertainty principle

See page: "On the probability interpretation of quantum mechanics" for a critical look at the probability interpretation.

There is plenty of information on the topic on the web. So just links for now.

It makes for the volume of atoms not collapsing down any further
and for the energy and strength of covalent bonds
for just two very fundamental consequences.

Related

• Sensors
• Precision

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• The nature and shape of atoms
• Covalent bond

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• Nonbonded forces
• Nonbonded interactions

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• Useful math

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Perhaps somewhat controversial takes on the probability interpretations here:

• On the particle wave duality
• On the probability interpretation of quantum mechanics

External links

• https://en.wikipedia.org/wiki/Uncertainty_principle
• https://en.wikipedia.org/wiki/Exchange_interaction
• https://en.wikipedia.org/wiki/Complete_set_of_commuting_observables

Looking more closely at one observable of a "complete set of commuting observables"
then one or more of the others need to blur further out to compensate for that.
The minimal phase space volume of the Planck quantum cannot be further compressed.